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Simplifying -3(2d + 5) + -11 = -12 + 2(4d + 7) Reorder the terms: -3(5 + 2d) + -11 = -12 + 2(4d + 7) (5 * -3 + 2d * -3) + -11 = -12 + 2(4d + 7) (-15 + -6d) + -11 = -12 + 2(4d + 7) Reorder the terms: -15 + -11 + -6d = -12 + 2(4d + 7) Combine like terms: -15 + -11 = -26 -26 + -6d = -12 + 2(4d + 7) Reorder the terms: -26 + -6d = -12 + 2(7 + 4d) -26 + -6d = -12 + (7 * 2 + 4d * 2) -26 + -6d = -12 + (14 + 8d) Combine like terms: -12 + 14 = 2 -26 + -6d = 2 + 8d Solving -26 + -6d = 2 + 8d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-8d' to each side of the equation. -26 + -6d + -8d = 2 + 8d + -8d Combine like terms: -6d + -8d = -14d -26 + -14d = 2 + 8d + -8d Combine like terms: 8d + -8d = 0 -26 + -14d = 2 + 0 -26 + -14d = 2 Add '26' to each side of the equation. -26 + 26 + -14d = 2 + 26 Combine like terms: -26 + 26 = 0 0 + -14d = 2 + 26 -14d = 2 + 26 Combine like terms: 2 + 26 = 28 -14d = 28 Divide each side by '-14'. d = -2 Simplifying d = -2
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